Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras

Thomas Basile (1) , Xavier Bekaert (2) , Euihun Joung (1)

1 KHU - Kyung Hee University
2 IDP - Institut Denis Poisson

We explore the relation between the singleton and adjoint modules of higher-spin algebras via so(2, d) characters. In order to relate the tensor product of the singleton and its dual to the adjoint module, we consider a heuristic formula involving symmetrization over the variables of the character. We show that our formula reproduces correctly the adjoint-module character for type-A (and its high-order extensions) and type-B higher-spin gravity theories in any dimension. Implications and subtleties of this symmetrization prescription in other models are discussed.

Mots clés: Higher Spin Gravity; Higher Spin Symmetry; singleton; algebra; gravitation; duality; twist; spin: high; any-dimensional; mathematical methods; SO(2; N)

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Thomas Basile, Xavier Bekaert, Euihun Joung. Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras. Journal of High Energy Physics, 2018, 07, pp.009. ⟨10.1007/JHEP07(2018)009⟩. ⟨hal-01719627⟩